A non-autonomous Leslie–Gower model with Holling type IV functional response and harvesting complexity

被引:0
|
作者
Jie Song
Yonghui Xia
Yuzhen Bai
Yaoxiong Cai
D. O’Regan
机构
[1] Huaqiao University,School of Economics and Finance
[2] Huaqiao University,School of Mathematical Sciences
[3] Zhejiang Normal University,Department of Mathematics
[4] Qufu Normal University,School of Mathematical Sciences
[5] National University of Ireland,School of Mathematics, Statistics and Applied Mathematics
来源
Advances in Difference Equations | / 2019卷
关键词
Periodic solutions; Functional response; Permanence; Non-autonomous; Predator-prey model;
D O I
暂无
中图分类号
学科分类号
摘要
This paper considers a non-autonomous modified Leslie–Gower model with Holling type IV functional response and nonlinear prey harvesting. The permanence of the model is obtained, and sufficient conditions for the existence of a periodic solution are presented. Two examples and their simulations show the validity of our results.
引用
收藏
相关论文
共 50 条
  • [1] A non-autonomous Leslie-Gower model with Holling type IV functional response and harvesting complexity
    Song, Jie
    Xia, Yonghui
    Bai, Yuzhen
    Cai, Yaoxiong
    O'Regan, D.
    ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [2] MULTIPLE POSITIVE PERIODIC SOLUTIONS TO A PREDATOR-PREY MODEL WITH LESLIE-GOWER HOLLING-TYPE II FUNCTIONAL RESPONSE AND HARVESTING TERMS
    Du, Zengji
    Chen, Xiao
    Feng, Zhaosheng
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2014, 7 (06): : 1203 - 1214
  • [3] A new non-autonomous model for migratory birds with Leslie-Gower Holling-type II schemes and saturation recovery rate
    Zhang, Yan
    Chen, Shihua
    Gao, Shujing
    Fan, Kuangang
    Wang, Qingyun
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2017, 132 : 289 - 306
  • [4] Dynamics of a Discrete Leslie-Gower Model with Harvesting and Holling-II Functional Response
    Zhang, Chen
    Li, Xianyi
    MATHEMATICS, 2023, 11 (15)
  • [5] HOPF BIFURCATION IN THE DELAYED FRACTIONAL LESLIE-GOWER MODEL WITH HOLLING TYPE II FUNCTIONAL RESPONSE∗
    Chen, Xiaoping
    Huang, Chengdai
    Cao, Jinde
    Shi, Xueying
    Luo, An
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2023, 13 (05): : 2555 - 2571
  • [6] Slow-fast analysis of a modified Leslie-Gower model with Holling type I functional response
    Saha, Tapan
    Pal, Pallav Jyoti
    Banerjee, Malay
    NONLINEAR DYNAMICS, 2022, 108 (04) : 4531 - 4555
  • [7] Permanence and Hopf bifurcation of a delayed eco-epidemic model with Leslie-Gower Holling type III functional response
    Zhang, Zi Zhen
    Cao, Chun
    Kundu, Soumen
    Wei, Ruibin
    SYSTEMS SCIENCE & CONTROL ENGINEERING, 2019, 7 (01) : 276 - 288
  • [8] Consequences of Weak Allee Effect in a Leslie-Gower-Type Predator-Prey Model with a Generalized Holling Type III Functional Response
    Tintinago-Ruiz, Paulo C.
    Restrepo-Alape, Leonardo D.
    Gonzalez-Olivares, Eduardo
    ANALYSIS, MODELLING, OPTIMIZATION, AND NUMERICAL TECHNIQUES, 2015, 121 : 89 - 103
  • [9] Asymptotic behaviour of a non-autonomous multispecies Holling type II model with a complex type of noises
    Xu, Libai
    Ma, Xintong
    Zhao, Yanyan
    STAT, 2024, 13 (01):
  • [10] A Leslie-Gower-type predator-prey model with sigmoid functional response
    Gonzalez-Olivares, Eduardo
    Tintinago-Ruiz, Paulo C.
    Rojas-Palma, Alejandro
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (09) : 1895 - 1909